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157721506464 = 25397137123631
BaseRepresentation
bin1001001011100011101…
…1110011001010100000
3120002002212211200110110
42102320323303022200
510041003201201324
6200242315131320
714252325453624
oct2227073631240
9502085750413
10157721506464
1160986751255
1226698743b40
1311b471b47b2
1478c3083184
154181918329
hex24b8ef32a0

157721506464 has 96 divisors (see below), whose sum is σ = 421343790336. Its totient is φ = 51651624960.

The previous prime is 157721506463. The next prime is 157721506477. The reversal of 157721506464 is 464605127751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (157721506463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213929 + ... + 1337559.

It is an arithmetic number, because the mean of its divisors is an integer number (4388997816).

Almost surely, 2157721506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157721506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210671895168).

157721506464 is an abundant number, since it is smaller than the sum of its proper divisors (263622283872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157721506464 is a wasteful number, since it uses less digits than its factorization.

157721506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123878 (or 123870 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 157721506464 in words is "one hundred fifty-seven billion, seven hundred twenty-one million, five hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 137 194 274 291 388 411 548 582 776 822 1096 1164 1552 1644 2192 2328 3104 3288 4384 4656 6576 9312 13152 13289 26578 39867 53156 79734 106312 123631 159468 212624 247262 318936 370893 425248 494524 637872 741786 989048 1275744 1483572 1978096 2967144 3956192 5934288 11868576 11992207 16937447 23984414 33874894 35976621 47968828 50812341 67749788 71953242 95937656 101624682 135499576 143906484 191875312 203249364 270999152 287812968 383750624 406498728 541998304 575625936 812997456 1151251872 1625994912 1642932359 3285864718 4928797077 6571729436 9857594154 13143458872 19715188308 26286917744 39430376616 52573835488 78860753232 157721506464